45333240 has 128 divisors (see below), whose sum is σ = 146016000. Its totient is φ = 11225088.

The previous prime is 45333229. The next prime is 45333247. The reversal of 45333240 is 4233354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45333240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45333247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134352 + ... + 134688.

It is an arithmetic number, because the mean of its divisors is an integer number (1140750).

Almost surely, 2^45333240 is an apocalyptic number.

45333240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45333240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73008000).

45333240 is an abundant number, since it is smaller than the sum of its proper divisors (100682760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45333240 is a wasteful number, since it uses less digits than its factorization.

45333240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 45333240 is about 6732.9963612050. The cubic root of 45333240 is about 356.5651713807.

Adding to 45333240 its reverse (4233354), we get a palindrome (49566594).

The spelling of 45333240 in words is "forty-five million, three hundred thirty-three thousand, two hundred forty".